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In a free-fall experiment, an object is dropped from a height of h = 576 feet. A camera on the ground 500 ft from the point of impact records the fall o -500 ft Not drawn to scale (a) Find the position function that yields the height of the object at time t assuming the object is released at time t = 0. h(t) = 576 X At what time will the object reach ground level? (Round your answer to three decimal places.) t = sec (b) Find the rates of change of the angle of elevation of the camera when t = 1 and t = 2. (Round your answers to four decimal places.)

In a free-fall experiment, an object is dropped from a height of h = 576 feet. A camera on the ground 500 ft from the point of impact records the fall o -500 ft Not drawn to scale (a) Find the position function that yields the height of the object at time t assuming the object is released at time t = 0. h(t) = 576 X At what time will the object reach ground level? (Round your answer to three decimal places.) t = sec (b) Find the rates of change of the angle of elevation of the camera when t = 1 and t = 2. (Round your answers to four decimal places.)

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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In a free-fall experiment, an object is dropped from a height of h = 576 feet. A camera on the ground 500 ft from the point of impact records the fall of the object (see figure). 500 ft Not drawn to scale (a) Find the position function that yields the height of the object at time t assuming the object is released at time t = 0. h(t) = 576 X At what time will the object reach ground level? (Round your answer to three decimal places.) t = sec (b) Find the rates of change of the angle of elevation of the camera when t = 1 and t = 2. (Round your answers to four decimal places.) 0'(1) = rad/sec 8'(2) = rad/sec
Transcribed Image Text:In a free-fall experiment, an object is dropped from a height of h = 576 feet. A camera on the ground 500 ft from the point of impact records the fall of the object (see figure). 500 ft Not drawn to scale (a) Find the position function that yields the height of the object at time t assuming the object is released at time t = 0. h(t) = 576 X At what time will the object reach ground level? (Round your answer to three decimal places.) t = sec (b) Find the rates of change of the angle of elevation of the camera when t = 1 and t = 2. (Round your answers to four decimal places.) 0'(1) = rad/sec 8'(2) = rad/sec
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